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Finding the Third Proportional to 161,909 and 343,548

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Solution

The third proportional to 161,909 and 343,548 is: 728,960.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,909 : 343,548 = 343,548 : x
  2. Step 2: Convert to fraction form
    161,909/343,548 = 343,548/x
  3. Step 3: Cross multiply
    161,909x = 343,548 × 343,548
  4. Step 4: Simplify right side
    161,909x = 118,025,228,304
  5. Step 5: Solve for x
    x = 118,025,228,304/161,909
  6. Step 6: Final answer
    x = 728,960.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.